Find the radius of a sphere whose volume = 43π m^3.

Answer 1

We know that the volume of a sphere is given by the formula V = (4/3)πr^3, where r is the radius of the sphere.

Given that the volume of the sphere is 43π m^3, we can set up the equation as follows:

43π = (4/3)πr^3

Now, we can solve for the radius by isolating r on one side of the equation:

r^3 = (3/4)(43)
r^3 = 32.25
r = ∛32.25
r ≈ 3.20 m

Therefore, the radius of the sphere is approximately 3.20 meters.